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Finding the Fourth Proportional to 998.45, 1,497.78 and 511.61

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Solution

The fourth proportional to 998.45, 1,497.78 and 511.61 is: 767.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.45 : 1,497.78 = 511.61 : x
  2. Step 2: Convert to fraction form
    998.45/1,497.78 = 511.61/x
  3. Step 3: Cross multiply
    998.45x = 1,497.78 × 511.61
  4. Step 4: Simplify right side
    998.45x = 766,279.23
  5. Step 5: Solve for x
    x = 766,279.23/998.45
  6. Step 6: Final answer
    x = 767.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.